Answer
$(-\displaystyle \frac{1}{5},-\frac{7}{5})$
Work Step by Step
Isolate $y$ in eq.$2$
$ 2x-y=1\qquad$ ... add $y-1$
$ 2x-1=y\qquad$ ... divide with 2
$ y=2x-1\qquad$ (*)
Replace $y$ with $2x-1$ in the other equation:
$ 3x-4(2x-1)=5\qquad$ ... and solve for $x$.
$3x-8x+4=5=4$
$-5x=1$
$x=-\displaystyle \frac{1}{5}$
Now, back-substitute into (*)
$y=2(-\displaystyle \frac{1}{5})-1=-\frac{7}{5}$
Form an ordered pair $(x,y)$ as the solution to the system
$(-\displaystyle \frac{1}{5},-\frac{7}{5})$
